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On a Theorem of Matiyasevich
B. Z. Morozabc, A. A. Norkind a Moscow Institute of Physics and Technology (National Research University), Dolgoprudny, Moscow Region
b St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences
c University of Bonn
d The Weizmann Institute of Science
Abstract:
Using the restatement of the Riemann hypothesis proposed in a recent paper of Matiyasevich, we explicitly write out the system of Diophantine equations whose unsolvability is equivalent to this hypothesis.
Keywords:
Riemann hypothesis, Diophantine equations, binomial coefficients.
Received: 01.03.2020 Revised: 30.03.2020
Citation:
B. Z. Moroz, A. A. Norkin, “On a Theorem of Matiyasevich”, Mat. Zametki, 108:3 (2020), 366–379; Math. Notes, 108:3 (2020), 344–355
Linking options:
https://www.mathnet.ru/eng/mzm12711https://doi.org/10.4213/mzm12711 https://www.mathnet.ru/eng/mzm/v108/i3/p366
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